Chapter 11.4, Problem 2ST1

To determine

To find: The area of the polygon.

Answer to Problem 2ST1

  $A=60sq.unit$

Explanation of Solution

Given: A rectangle with base $12$ and diagonal $13$

  

Using Pythagoras theorem

  $\begin{array}{l}{13}^2={12}^2+b^2\\ b^2=169-144\\ b^2=25\\ b=5\end{array}$

Area of rectangle

  $\begin{array}{l}A=lb\\ l=12\\ b=5\\ A=(12)(5)\\ A=60sq.unit\end{array}$

Hence, $A=60sq.unit$